Pre-Cal (Mod 8)
Find the area of the triangle with a = 1, b = (sqr)2 and C = 45∘, to the nearest tenth.
0.5 sq. units
In a triangle, if side a = 23, side b = 11 and angle A = 122 degrees, find the value of angle B to the nearest degree.
24 degrees
Given a = 14, b = 6 and c = 12, find the measure of angle B to the nearest degree.angle B = ____________________ degrees
25 degrees
The "s" in Heron's formula represents the sum of the sides of the triangle.
False
tan^2(x) + sec^2(x) = 1
False
Double and Half-Angle Identities
Formulas to help find the exact values of a trig function.
Find the area of the triangle, to the nearest tenth, of the triangle with a = 3, b = 5, and c = 6.
7.5 sq. units
Find the value of angle A in the triangle where a = 8, b = 6 and c = 7 to the nearest degree.
76 degrees
Given a = 14, b = 6 and c = 12, find the measure of angle A to the nearest degree.
96 degrees
The Law of Cosines must be used when only the measures of two sides and the included angle are known.
True
When using a half-angle identity to find the value of sin 15 degrees, 30 degrees should be used in the formula.
True
cos(2A) = 2cos2^2A-1
True
sin 75 can be found using Sum and Difference Identities using angles on the unit circle.
True
sin(5π/12)= sin(π/6+π/4)
True
Use a half-angle identity to find sin(22.5).
((Sqr)2-(sqr)2/2)
Find the exact value of equation cos 15 using a Sum or Difference Identity.
(sqr)(6)+(sqr)(2)/4
Find the exact value of equation sin(7π/12) using a Sum or Difference Identity.
(sqr)(6)+(sqr)(2)/4
Simplify the expression below: sin^2x (cot^2x + 1)
1
Simplify: 1/csc^2x + 1/sec^2x
1
Simplify: in x ∗ csc x
1
Find the area of the triangle, to the nearest whole number, with a = 5, b = 6 and c = 9.
14 sq. units
Find the area of a triangle, to the nearest whole number, of the triangle given a = 7, b = (sqr)51, c=10
25 sq. units
Find the area, to the nearest whole number, of a triangle where a = 7 ft, b = 9.3 ft and angle C = 86 degrees.
32 sq. feet
Given a = 4, c = 3 and angle B = 100 degrees, find the measure of angle C to the nearest degree.
33 degrees
Given a = 4, c = 3 and angle B = 100 degrees, find the value of angle A to the nearest degree.
47 degrees
Given a = 4, c = 3 and angle B = 100 degrees, find the value of side b to the nearest whole number.
5 units
Find the area of the triangle, to the nearest whole number, given a = 12, c = 10 and B = 75∘
58 sq. units
Unit Circle
A circle with radius one.
(csc x + 1)(csc x - 1) = cot x
False
Simplify cscx/cotx.
Sec x
When using Sum and Difference Identities to find the exact value of cos 15 degrees, which of the following could be used?
cos (45 - 30)